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A new upper bound for unconstrained two-dimensional cutting and packing

Author

Listed:
  • Y-G G

    (Hanyang University, Ansan)

  • M-K Kang

    (Hanyang University, Ansan)

Abstract

A new upper bound for the unconstrained two-dimensional cutting or packing problem is proposed in this paper. The proposed upper bound can be calculated for any size of plate by solving just two knapsack problems at the beginning of the algorithm. In this research, the proposed upper bound was applied to the well known exact cutting algorithm, although it can be used for both cutting and packing applications. The experimental results demonstrate that the new upper bound is very efficient, and reduces the search time required to find an optimal solution.

Suggested Citation

  • Y-G G & M-K Kang, 2002. "A new upper bound for unconstrained two-dimensional cutting and packing," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(5), pages 587-591, May.
    • Handle: RePEc:pal:jorsoc:v:53:y:2002:i:5:d:10.1057_palgrave.jors.2601326
    DOI: 10.1057/palgrave.jors.2601326
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    Citations

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    Cited by:

    1. Bennell, Julia A. & Oliveira, Jose F., 2008. "The geometry of nesting problems: A tutorial," European Journal of Operational Research, Elsevier, vol. 184(2), pages 397-415, January.
    2. Russo, Mauro & Sforza, Antonio & Sterle, Claudio, 2013. "An improvement of the knapsack function based algorithm of Gilmore and Gomory for the unconstrained two-dimensional guillotine cutting problem," International Journal of Production Economics, Elsevier, vol. 145(2), pages 451-462.
    3. Bayliss, Christopher & Currie, Christine S.M. & Bennell, Julia A. & Martinez-Sykora, Antonio, 2021. "Queue-constrained packing: A vehicle ferry case study," European Journal of Operational Research, Elsevier, vol. 289(2), pages 727-741.
    4. Vera Neidlein & Andrèa C. G. Vianna & Marcos N. Arenales & Gerhard Wäscher, 2008. "The Two-Dimensional, Rectangular, Guillotineable-Layout Cutting Problem with a Single Defect," FEMM Working Papers 08035, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.

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